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Finding the Fourth Proportional to 2,706.50, 4,056.84 and 1,146.14

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Solution

The fourth proportional to 2,706.50, 4,056.84 and 1,146.14 is: 1,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.50 : 4,056.84 = 1,146.14 : x
  2. Step 2: Convert to fraction form
    2,706.50/4,056.84 = 1,146.14/x
  3. Step 3: Cross multiply
    2,706.50x = 4,056.84 × 1,146.14
  4. Step 4: Simplify right side
    2,706.50x = 4,649,706.60
  5. Step 5: Solve for x
    x = 4,649,706.60/2,706.50
  6. Step 6: Final answer
    x = 1,717.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.